Références
M. Gell-Mann etY. Ne’eman:The Eightfold Way (Benjamin, New York, N. Y., 1964).
C. N. Yang etR. Mills:Phys. Rev.,96, 191 (1954);E. S. Abers etB. W. Lee:Phys. Rep.,9, 1 (1973).
S. L. Glashow:Rev. Mod. Phys.,52, 539 (1980);A. Salam:Rev. Mod. Phys.,52, 525 (1980); S. WEINBERG:Rev. Mod. Phys.,52, 515 (1980).
M. Jacob (Éditeur):Perturbative QCD, in Phys. Rep., reprint book Vol.5 (North-Holland, Amsterdam, 1982).
P. W. Higgs:Phys. Rev. Lett.,12, 132 (1964);F. Englert etR. Brout:Phys. Rev. Lett,13, 321 (1964);T. W. Kibble:Phys. Rev.,155, 1554 (1967).
D. Bleecker:Gauge Theories and Variational Principles (Addison-Wesley, Reading, Mass., 1981).
G. Ross:Grand Unified Theories (Benjamin/Cummings, New York, N. Y., 1984).
C. J. Isham, R. Penrose etD. W. Sciama:Quantum Gravity (Oxford University Press, Oxford, 1975);B. S. De Witt:Phys. Rep.,19, 295 (1975).
V. P. Akulov etD. V. Volkov.Phys. Lett. B,46, 109 (1973);J. Wess etB. Zumino:Nucl. Phys. B,70, 39 (1974);P. Fayet etS. Ferrara:Phys. Rep.,32, 249 (1977).
S. Coleman etJ. Mandula:Phys. Rev.,159, 1251 (1967).
M. Jacob (Éditeur):Supersymmetry and Supergravity, inPhys. Rep., reprint volume (North-Holland, World Scientific, 1986).
J. H. Schwarz:Superstrings, Vol.1 et2 (World Scientific, Singapore, 1985);M. B. Green, J. H. Schwarz etE. Witten:Superstring Theories, Vol.1 et2 (Cambridge University Press, Cambridge, 1987);M. Kaku:Introduction to Superstrings (Springer-Verlag, Berlin, 1988).
G. F. Chew:The Analytic S-Matrix, a Basis for Nuclear Democracy (Benjamin, New York, N.Y., 1966).
G. Veneziano:Nuovo Cimento A,57, 190 (1968);K. Bardakci etH. Ruegg:Phys. Lett. B,28, 342 (1968);Phys. Rev.,181, 1884 (1969).
M. Jacob (Éditeur):Dual Theory, inPhys. Rep., reprints Vol.1 (North-Holland, Amsterdam, 1974).
S. Fubini etG. Veneziano:Nuovo Cimento A,67, 29 (1970);M. Virasoro:Phys. Rev. D,1, 2933 (1970).
Y. Nambu:Lectures at the Copenhagen Summer Symposium (1970);T. Goto:Prog. Theor. Phys.,46, 1560 (1971).
A. Neveu etJ. H. Schwarz:Nucl. Phys. B,31, 816 (1971);Phys. Rev. D,4, 1109 (1971);P. Ramond:Phys. Rev. D,3, 2415 (1971).
F. Gliozzi, J. Scherk etD. Olive:Nucl. Phys. B,112, 253 (1977).
M. B. Green etJ. H. Schwarz:Phys. Lett. B,136, 367 (1984);Nucl. Phys. B,198 (1984).
F. E. Close:Rep. Prog. Phys.,42, 1285 (1979).
J. Scherk etJ. H. Schwarz:Nucl. Phys. B,81, 118 (1974);T. Yoneya:Prog. Theor. Phys.,51, 1907 (1974).
Th. Kaluza:Sitzungsber. Preuss. Akad. Wiss. Math.-Phys. Kl,1, 966 (1921);O. Klein:Z. Phys.,37, 895 (1926);T. Appelquist, A. Chodos etP. G. O. Freund (Éditeur):Modern Kaluza-Klein Theories (Addison-Wesley, Reading, Mass., 1987).
L. Alvarez-Gaumé etE. Witten:Nucl. Phys. B,234, 269 (1983);M. B. Green etJ. H. Schwarz:Phys. Lett. B,149, 117 (1984);151, 21 (1985).
S. Adler etR. Dashen:Current Algebra and Application to Particle Physics (Benjamin, New York, N.Y., 1968).
M. Jimbo etT. Miwa:Publ. RIMS Kyoto Univ.,19, 943 (1983) et références y contenues.
D. J. Gross, J. H. Harvey, E. Martinec etR. Rohm:Nucl. Phys. B,256, 253 (1986);267, 75 (1986).
V. G. Kac:Infinite-Dimensional Lie Algebras (Birkhauser, Boston, Mass., 1983) et références y contenues;R. V. Moody:J. Algebra,10, 211 (1968).
S. Fubini, D. Gordon etG. Veneziano:Phys. Lett. B,29, 679 (1969);Y. Nambu:Proceedings of the International Conference on Quark Model (Gordon and Breach, New York, N. Y., 1969), p. 269;J. L. Gervais:Nucl. Phys. B,21, 192 (1970).
I. B. Frenkel etV. G. Kac:Invent. Math.,62, 23 (1980);G. Segal:Commun. Math. Phys.,80, 301 (1982).
J. Lepowsky etG. Wilson:Invent. Math.,77, 199 (1984).
P. Goddard, W. Nahm, D. Olive etA. Schwimmer:Commun. Math. Phys.,107, 179 (1986);D. Bernard etJ. Thierry-Mieg: Commun. Math. Phys.,111, 181 (1987).
A. M. Polyakov:JETP Lett.,12, 381 (1970);A. Z. Patashinskii etV. L. Pokrovskii:Fluctuations Theory of Phase Transitions (Pergamon Press, New York, N.Y., 1979).
L. Alvarez-Gaumé etP. Nelson: CERN-TH 4615/86;L. Alvarez-Gaumé, C. Gomez etC. Raina:Phys. Lett. B,109, 55 (1987);D. Friedan etS. Shenker:Phys. Lett. B,175, 287 (1986).
L. D. Fadeev etV. N. Popov:Phys. Lett. B,25, 29 (1967).
E. Verlinde: Utrecht preprint THU-88/17 (1988);G. Moore etN. Seiberg: preprint IASSNS-Hep 88/18 (1988).
J. Fröhlich:Lectures at the Cargèse Summer Institute on Non-perturbative Quantum Field Theory, (Plenum Press, New York, N. Y., 1987);M. Wadati, T. Deguchi etY. Akutsu:Phys Rep.,180, 247 (1989) et références y contenues;K-H. Rehren:Commun. Math. Phys.,116 675 (1988);B. Schrder:Nucl. Phys. B, 295, 4 (1988);K-H. Rehren etB. Schroer: Berlin preprint FU-88-0439.
L. Alvarez-Gaumé, C. Gomez etG. Sierra: CERN-TH 5129/88;V. G. Drinfeld:Proceedings of the International Congress of Mathematicians,Berkeley, 1986 et références y contenues;Y. Manin:Ann. Inst. Fourier Grenoble,37, 191 (1987);Quantum Groups and non-Commutative Geometry, (Publication CRM, Montreal) (1988).
S. Fubini, A. J. Hanson etR. Jackiw:Phys. Rev. D,7, 1732 (1973).
S. Ferrara, R. Gatto etA. F. Grillo:Nuovo Cimento A,12, 959 (1972).
J. Schwinger:Phys. Rev. Lett,3, 296 (1959).
P. Goddard etD. Olive:Int. J. Mod. Phys. A,1, 303 (1986).
P. Goddard, W. Nahm etD. Olive:Phys. Lett. B,160, 111 (1985).
A. A. Belavin, A. M. Polyakov etA. B. Zamolodchikov:Nucl. Phys. B,241, 333 (1984).
K. G. Wilson:Phys. Rev.,179, 1499 (1969).
B. L. Feigin etD. B. Fuchs:Funct. Anal. Appl,116, 114 (1982);C. B. Thorn:Nucl. Phys. B,248, 551 (1984);V. G. Kac:Proceedings of the International Congress of Mathematicians, Helsinki, 1978; etLecture Notes in Physics, Vol.94 (1978), p. 441.
D. Friedan, Z. Qiu etS. Shenker:Phys. Rev. Lett,52, 1575 (1984).
M. E. Fischer:Phys. Rev. Lett,40, 1610 (1978);J. L. Cardy:Phys. Rev. Lett.,54, 1354 (1985).
D. Friedman etS. H. Shenker:Nucl. Phys. B,281, 509 (1987).
J. L. Cardy:Nucl. Phys. B,270, 186 (1986).
A. Cappelli, C. Itzykson etJ. B. Zuber:Nucl. Phys. B,280, 445 (1987).
P. Ginsparg:Nucl. Phys. B,295, 153 (1988);E. B. Kiritsis: Caltech preprint Calt-68-1509 (1988).
D. Friedan etS. Shenker: non publié;J. Harvey, G. Moore etC. Vafa: Harward preprint Hutp-87/AO72;C. Anderson etG. Moore: IASSNS-HEP-87/89;C. Vafa: Harward preprint HUTP-88/AO11.
K. S. Narain:Phys. Lett. B,169, 41 (1986).
H. Eichenherr:Phys. Lett. B,151, 26 (1985);M. A. Bershadsky, V. G. Kknizhink etM. G. Teitelman:Phys. Lett B,151, 31 (1985);D. Friedan, Z. Qiu etS. Shenker:Phys. Lett. B,151, 37 (1985);P. Di Vecchia, J. L. Petersen etH. B. Zheng:Phys. Lett. B,162, 327 (1985); P. DI Vecchia,J. L. Petersen etM. Yu:Phys. Lett. B,172, 211 (1986);P. Di Vecchia, M. Yu etH. B. Zheng:Phys. Lett. B,174, 280 (1986);W. Boucher, D. Friedan etA. Kent:Phys. Lett. B,172, 316 (1986);M. Ademollo et al.: Phys. Lett B,62, 105 (1976);M. Ademollo et al.: Nucl. Phys. B,114, 297 (1976);A. Schwimmer etN. Seiberg:Phys. Lett. B,184, 191 (1987);K. Schoutens:Phys. Lett. B,194, 75 (1987) et références y contenues.
A. B. Zamolodchikov etV. A. Fateev:Sov. Phys. JETP,62, 215 (1985);63, 913 (1986).
V. G. Knizhnik etA. B. Zamolodchikov:Nucl. Phys. B,274, 83 (1984);E. Witten:Commun. Math. Phys.,92, 455 (1984).
V. A. Fateev etA. B. Zamolodchikov:Theor. Math. Fiz.,71, 163 (1987).
V. A. Fateev etA. B. Zamolodchikov:Nucl. Phys. B,280, 644 (1987);V. A. Fateev etS. L. Lykyanov:Int. J. Mod. Phys. A,3, 507 (1988).
D. Gepner: Princeton preprint Print-87-0113.
F. A. Bais, P. Bouwknegt, K. Schoutens etM. Surridge:Nucl. Phys. B,304, 348 (1988);P. Bouwknget: ITFA 87-23.
P. Goddard, A. Kent etD. Olive:Phys. Lett. B,152, 88 (1985);Commun. Math. Phys.,103, 105 (1986).
F. Ravanini:Mod. Phys. Lett. A,3, 397 (1988);J. Bagger, D. Nemeschansky etS. Yankielowicz:Phys. Rev. Lett.,60, 389 (1988);D. Kastor, E. Martinec etZ. Qiu: Chicago preprint EFI-87-58.
M. Douglas: Caltech preprint Calt-68-1453 (1987);P. Goddard etA. Schwimmer:Phys. Lett. B,206, 62 (1987).
H. Sugawara:Phys. Rev.,170, 1659 (1968).
D. Gepner etE. Witten:Nucl. Phys. B,278, 493 (1986).
D. Altschüler, J. Lacki etPh. Zaugg:Phys. Lett. B,205, 281 (1988).
P. Candelas, G. Horowitz, A. Strominger etE. Witten:Nucl. Phys. B,258, 46 (1985).
E. Calabi: inAlgebraic Geometry and Topology: a Symposium in Honor of S. Lefschetz (Princeton University Press, Princeton, N.J., 1957), p. 78;S. T. Yau:Proc. Nat. Acad. Sci. USA,74, 1798 (1977).
L. Dixon, J. Harvey, C. Vafa etE. Witten:Nucl. Phys. B,261, 678 (1985);274, 286 (1986).
L. E. Ibañez, H. P. Nilles etF. Quevedo:Phys. Lett. B,187, 25 (1987);L. E. Ibañez etH. P. Nilles:Phys. Lett. B,191, 282 (1987).
Y. Hosotani:Phys. Lett. B,129, 193 (1984).
L. E. Ibañez, H. P. Nilles etF. Quevedo:Phys. Lett. B,192, 332 (1987).
W. Lerche, D. Lüst etA. N. Schellekens:Nucl. Phys. B,287, 477 (1987).
K. S. Narain, M. H. Sarmadi etC. Vafa:Nucl. Phys. B,288, 551 (1987).
F. Quevedo: inProceedings of the International Conference on High Energy Physics, Munich, 1988;I. Antoniadis: même volume.
D. Altschlüler, Ph. Beran, J. Lacki etI. Roditi:Int. J. Mod. Phys. A,4, 921 (1989).
J. Lepowsky:Proc. Nat. Acad. Sci. USA,82, 8295 (1985);V. G. Kac etD. H. Peterson: inProceedings of the Conference on Anomalies, Geometry and Topology in Argonne, Chicago, edited byA. White (World Scientific, Singapore, 1985).
J. Lacki: Geneva preprint UGVA-DPT 1989/01-602.
L. Alvarez-Gaumé, C. Gomez etG. Sierra: CERN-TH. 5369/89.
E. Verlinde:Nucl. Phys. B,300, 360 (1988).
A. Tsuchiya etY. Kanie:Lett. Math. Phys.,13, 303 (1987).
G. Moore etN. Seiberg:Phys. Lett. B,212, 451 (1988).
L. Fadeev:Les Houches Lectures (North-Holland, Amsterdam, 1982) et références y contenues;H. B. Thacker:Rev. Mod. Phys.,53, 253 (1981) et références y contenues;H. J. De Vega:Lectures given at the Winter School on Integrable Theories (Panchgani, Maharashtra, 1985) et références y contenues.
R. Dijkgraaf etE. Verlinde:Fusion Algebras and Conformai Field Theory,Contribution to the Annecy Conference on Conformal Field Theory (1988).
V. G. Drinfel’d:Sov. Math. Dokl.,32, 254 (1985); M. JIMBO:Lett. Math. Phys.,10, 63 (1985);11, 247 (1986);A. N. Kirillov etN. Y. Reshetikhin: Lomi preprint E-9-88.
V. Pasquier etH. Saleur: Saclay preprint SPhT/88-187.
J. Lacki etPh. Zaugg: UGVA-DPT 1989/05-615, to appear inPhys. Lett.
L. Alvarez-Gaumé, C. Gomez etG. Sierra:Nucl. Phys., to appear;G. Moore etN. Y. Reshetikhin: IASSNS-HEP-89/18.
B. Blok etS. Yankielowicz: CERN-TH. 5250/88.
G. Felder, J. Fröhlich etG. Keller: preprint (1989).
E. Witten: IASSNS-HEP-88/33; IASSNS-HEP-89/32;G. Moore etN. Seiberg: IASSNS-HEP-89/6.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lacki, J. Algèbres de dimension infinie, groupes des tresses et groupes quantiques dans les théories conformes à deux dimensions. Riv. Nuovo Cim. 12, 1–52 (1989). https://doi.org/10.1007/BF02742980
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02742980